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Finding the Fourth Proportional to 608.66, 839.94 and 346.64

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Solution

The fourth proportional to 608.66, 839.94 and 346.64 is: 478.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.66 : 839.94 = 346.64 : x
  2. Step 2: Convert to fraction form
    608.66/839.94 = 346.64/x
  3. Step 3: Cross multiply
    608.66x = 839.94 × 346.64
  4. Step 4: Simplify right side
    608.66x = 291,156.80
  5. Step 5: Solve for x
    x = 291,156.80/608.66
  6. Step 6: Final answer
    x = 478.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.